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Finding the Third Proportional to 301,077 and 649,153.69

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Solution

The third proportional to 301,077 and 649,153.69 is: 1,399,643.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,077 : 649,153.69 = 649,153.69 : x
  2. Step 2: Convert to fraction form
    301,077/649,153.69 = 649,153.69/x
  3. Step 3: Cross multiply
    301,077x = 649,153.69 × 649,153.69
  4. Step 4: Simplify right side
    301,077x = 421,400,509,994.85
  5. Step 5: Solve for x
    x = 421,400,509,994.85/301,077
  6. Step 6: Final answer
    x = 1,399,643.65

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.